Numerical method of slope failure probability based on Bishop model |
| |
Authors: | Yong-hua Su Ming-hua Zhao and Yue-ying Zhang |
| |
Affiliation: | (1) Institute of Geotechnical Engineering, Hunan University, Changsha, 410082, China |
| |
Abstract: | Based on Bishop's model and by applying the first and second order mean deviations method, an approximative solution method for the first and second order partial derivatives of functional function was deduced according to numerical analysis theory. After complicated multi-independent variables implicit functional function was simplified to be a single independent variable implicit function and rule of calculating derivative for composite function was combined with principle of the mean deviations method, an approximative solution format of implicit functional function was established through Taylor expansion series and iterative solution approach of reliability degree index was given synchronously. An engineering example was analyzed by the method. The result shows its absolute error is only 0.78% as compared with accurate solution. |
| |
Keywords: | Bishop mechanical model failure probability of slope mean deviation method implicit function Taylor series dump ofopen-pit |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |